125607525120 has 1296 divisors, whose sum is σ = 570856577760. Its totient is φ = 26057687040.

The previous prime is 125607525107. The next prime is 125607525143. The reversal of 125607525120 is 21525706521.

125607525120 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 0 + 7 + 525 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 204905934 + ... + 204906546.

Almost surely, 2^125607525120 is an apocalyptic number.

125607525120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125607525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285428288880).

125607525120 is an abundant number, since it is smaller than the sum of its proper divisors (445249052640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125607525120 is a wasteful number, since it uses less digits than its factorization.

125607525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 125607525120 in words is "one hundred twenty-five billion, six hundred seven million, five hundred twenty-five thousand, one hundred twenty".